The French and Burgundian lance varied from 9 to 6 to 3
In a French lance the knight or man-at-arms was expected to equip his lance
In a Burgundian lance the Knight or man-at-arms only had to provide horses
In the early sixteenth century the French mounted archer of a lance was required to wear full plate armor, wield a lance and ride on a destrier/charge. He did not even carry a bow and was archer in name only.
Really the above should give some sort of an indication of how variable the term lance was. It could indeed be that the Knight or man-at-arms hired the rest of his lance personally for the muster and maybe they slept in the same area/tent when camped but on the move I doubt they would travel together. You can’t really see the lance as a tactical unit, you don’t really put a diver, an airplane, a tank and a foot soldier in a tactical squad since that defies logic. You would run against the same obstacles in the medieval setting. The two to three foot soldiers can’t keep up with the mounted soldiers in the lance, the light cavalry and mounted archers can’t charge, the mounted archer needs to dismount to fight (unless he has a small crossbow) and the heavy cavalry would not waste his horse on skirmishing or other light cavalry duties.